Mammay, 26, of Pittsburgh, suffered severe head injuries and was taken to UPMC Mercy hospital, police said. Investigators were not immediately able to interview Mammay due to the severity of her injuries.

"We aren't sure exactly where she got on. We suspect it was probably at Edgewood, because the only exit prior to that would have been toward Oakland, near the Squirrel Hill Tunnels," said Trooper Robin Mungo.

The driver of the Jeep, Paul Tavella, 47, and his wife, Jeanne, 45, both of Greensburg, were taken to UPMC Presbyterian hospital with minor injuries, police said.

Both westbound lanes of the Parkway East remained closed until 5:50 a.m.

Police said chargers are pending the results of a blood-toxicology test.

"We do have reason to believe that alcohol may have been a factor, so we are going to get the blood results to make that final determination, but charges would be pending. There are other charges, obviously being on the parkway in the wrong direction," said Mungo.

Photos: 3 injured in wrong-way crash on Parkway East

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One woman suffered severe head injuries on Christmas Eve in a wrong-way crash on the Parkway East in Wilkinsburg.